cp's OEIS Frontend

A170681 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^49 = I.

%I A170681 #8 Nov 21 2016 11:38:14
%S A170681 1,48,2256,106032,4983504,234224688,11008560336,517402335792,
%T A170681 24317909782224,1142941759764528,53718262708932816,
%U A170681 2524758347319842352,118663642324032590544,5577191189229531755568,262127985893787992511696
%N A170681 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^49 = I.
%C A170681 The initial terms coincide with those of A170767, although the two sequences are eventually different.
%C A170681 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170681 <a href="/index/Rec#order_49">Index entries for linear recurrences with constant coefficients</a>, signature (46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, -1081).
%F A170681 G.f. (t^49 + 2*t^48 + 2*t^47 + 2*t^46 + 2*t^45 + 2*t^44 + 2*t^43 + 2*t^42 +
%F A170681 2*t^41 + 2*t^40 + 2*t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 +
%F A170681 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 +
%F A170681 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 +
%F A170681 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 +
%F A170681 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t +
%F A170681 1)/(1081*t^49 - 46*t^48 - 46*t^47 - 46*t^46 - 46*t^45 - 46*t^44 -
%F A170681 46*t^43 - 46*t^42 - 46*t^41 - 46*t^40 - 46*t^39 - 46*t^38 - 46*t^37 -
%F A170681 46*t^36 - 46*t^35 - 46*t^34 - 46*t^33 - 46*t^32 - 46*t^31 - 46*t^30 -
%F A170681 46*t^29 - 46*t^28 - 46*t^27 - 46*t^26 - 46*t^25 - 46*t^24 - 46*t^23 -
%F A170681 46*t^22 - 46*t^21 - 46*t^20 - 46*t^19 - 46*t^18 - 46*t^17 - 46*t^16 -
%F A170681 46*t^15 - 46*t^14 - 46*t^13 - 46*t^12 - 46*t^11 - 46*t^10 - 46*t^9 -
%F A170681 46*t^8 - 46*t^7 - 46*t^6 - 46*t^5 - 46*t^4 - 46*t^3 - 46*t^2 - 46*t + 1)
%t A170681 coxG[{49,1081,-46}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Oct 23 2016 *)
%K A170681 nonn
%O A170681 0,2
%A A170681 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009